English

A quantum hybrid with a thin antenna at the vertex of a wedge

Mathematical Physics 2017-03-08 v1 math.MP Quantum Physics

Abstract

We study the spectrum, resonances and scattering matrix of a quantum hamiltonian on a "hybrid surface" consisting of a half-line attached by its endpoint to the vertex of a concave planar wedge. At the boundary of the wedge, outside the vertex, Dirichlet boundary are imposed. The system is tunable by varying the measure of the angle at the vertex.

Keywords

Cite

@article{arxiv.1612.03025,
  title  = {A quantum hybrid with a thin antenna at the vertex of a wedge},
  author = {R. Carlone and A. Posilicano},
  journal= {arXiv preprint arXiv:1612.03025},
  year   = {2017}
}

Comments

8 pages, 3 figures